Question

one of the exterior angles of a triangle is 100 degrees and the interior opposite angle is in the ratio of 2:3 find the measure of each interior angle

Answer 1

Let the interior opposite angles be 2x and 3x

So,

2x + 3x = 100

5x = 100

x = 100/5 = 20

The angles are 40° and 60°

Answer 2

Answer:

Step-by-step explanation:

Given ==> the exterior angle of a triangle measure 100 degrees.

Given the interior oposite angles are in the ratio 2x and 3x.

We know ,

=> 2x + 3x = 100 {EXTERIOR ANGLE PROPERTY OF TRIANGLE}

=> 5x = 100

=> x = 20

   

Then 2x = 40degree and 3x = 60degree.

The angles are 40, 60 and 80 (angle sum property of triangle)

Hope this helps!

Thank you.